Hardware library

Rovers, robots, landers, and mining machines.

Separate field guides for Mars robots, exploration vehicles, space-mining equipment, and Moon landers, with real imagery and engineering review notes.

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Hardware Pages

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Mathematical model

Engineering geometry model

Engineering models are procedural, dimensionally organized teaching models. They use geometric primitives, known subsystem layout, symmetry, and transformation matrices; they are not generated from a visual image and are not exact manufacturing CAD.

Rigid transform

\[\mathbf{p}_{\mathrm{world}}=TRS\,\mathbf{p}_{\mathrm{local}}\]

Every component is positioned by translation T, rotation R, and scale S. This gives a reproducible mathematical scene graph instead of freehand drawing.

Symmetry and repetition

\[\mathbf{p}_k=R_z\!\left(\frac{2\pi k}{N}\right)\mathbf{p}_0\]

Repeated structures such as solar panels, trusses, engines, wheels, and array segments are generated by rotational or translational symmetry.

Scale verification

\[\mathrm{ratio}_{\mathrm{scene}}=\frac{\mathrm{dimension}_a}{\mathrm{dimension}_b}\]

Where the page presents relative component sizes, the scene preserves those ratios or states when readability scaling is applied.

Verification standard: the rendered object must be reproducible from stated equations, catalog parameters, or explicit geometric transforms. Visual reference images may inform presentation only; they are not the source of orbital positions, field vectors, accretion-disk gradients, timing, or engineering layout.

Limitations: browser scenes may use bounded scale, compressed distances, simplified two-body dynamics, schematic transfer curves, or educational approximations where full numerical ephemerides, CFD, finite-element models, or general-relativistic ray tracing are outside the page scope. Those simplifications are part of the model contract, not hidden image-based construction.

Open the full site-wide mathematical verification policy